Find the distance of AB

Answer:

c

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

C

Step-by-step explanation:

If you were to put the number of turkey out in order from least to greatest, the median is 12. Doing the same thing to the ham, the median is 9.

Subtracting Turkey (12) from Ham (9) your answer is C, or 3.

Answer:

the answer is to make sure he is at least twenty inches from his monitor.

Step-by-step explanation:

The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2

From the question, we have the following parameters that can be used in our computation:

-3/4 + 2/5x = 7/20x -1/2

The first step is to collect the like terms

So, we have

2/5x - 7/20x = 3/4 - 1/2

This represents an equation of the possible way to begin solving for x

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The cost for buying the tent is $230.

65% was increasesd for selling. Then the rate is

The tax is 8%. So this is from the marked price.

Therefore the total cost of the tent is $225.39.

Answer:

Promoting a bank requires convincing consumers to trust a bank with their money and make customers feel like they are getting the most value for their money. Once customers invest with a bank, the bank must work to keep customers and get them to buy-in to additional products.

Step-by-step explanation:

Answer:

Mostly loans, fixing customer's financial situations, and helping achieve a good credit score

Step-by-step explanation:

Answer: it’s 13/184

Step-by-step explanation:

To find the mid-point, we will use the formula;

From the question;

x₁ = 8 y₁ = 7 x₂ = -6 y₂ = -3

substituting into the formula;

(Xm, Ym) = (1 , 2)

Hence the coordinates of the mid-point are (1, 2)

Answer: The answer is C, hope I helped :)

Step-by-step explanation:

A purchase of 10 tickets is at an expected loss of $0.857 to the person.

Option B) $8.57 loss is the right choice.

The expected gain or loss is a weighted average of the probability of the different gains or losses and the gains or losses.

We are asked to calculate the expected gain or loss for a participant who purchases 10 tickets for a raffle costing $1 each, with a prize of a telescope valued at $425. We are told that a total of 2980 tickets have been sold.

First, we calculate the expected gain or loss on 1 ticket,

= 425*(1/2980) + (-1)(1)

= 0.1426174496 - 1

= -0.857382550.

∴ A purchase of 1 ticket is at an expected loss of $0.857

Now, we multiply this by 10 to get the expected gain or loss for the person with 10 tickets.

= -0.857382550*10 = -8.57382550

∴ A purchase of 10 tickets is at an expected loss of $0.857 to the person. Option B) $8.57 loss is the right option.

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When the fours sides of the quadrilateral and the opposite sides are parallel, such quadrilaterals are classified as rhombus

The quadrilateral is a geometric shape that is defined as the four sided polygon. The quadrilateral has four sides and four corners.  The number of vertices are four. Sum of the interior angles are 360 degrees

The rhombus is the quadrilateral that has four equal sides. Number of vertices are four. The sum of the interior angles are 360 degrees. Number  of edges are four

If four sides of the quadrilateral are equal then that quadrilateral is called rhombus and the opposite sides should be parallel

Therefore, the quadrilateral that has same sides and the parallel opposite sides is the rhombus

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Answer: 9(9+2) is equivalent to 81+18 because 9 plus 2 equals 11 and 11 times 9 is 99 and 81+18 is 99.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Chief Secretary's total monthly salary, including basic salary, dearness allowance, and festival allowance, is Rs 1,50,000.

We have,

The monthly basic salary of the married Chief Secretary of Nepal Government is given as Rs 74,000.

This is the fixed amount he receives as his base salary every month, before any additional allowances or deductions are considered.

Now,

In this case, the dearness allowance of Rs 2,000 is added to the basic salary.

This allowance is provided to compensate for the rising cost of living and is a fixed amount added to the basic salary.

Additionally, he receives 1 month's basic salary as a festival allowance. Since his monthly basic salary is Rs 74,000, his festival allowance would also be Rs 74,000.

Therefore, his total monthly salary can be calculated as follows:

Basic salary + Dearness allowance + Festival allowance

= Rs 74,000 + Rs 2,000 + Rs 74,000

= Rs 1,50,000

Thus,

The Chief Secretary's total monthly salary, including basic salary, dearness allowance, and festival allowance, is Rs 1,50,000.

Answer:

\(h(t)=-25\cos(\pi t)+29\)

Step-by-step explanation:

First thing to understand is that we will be producing a sine or cosine function to solve this one. I'll use a cosine function for the sake of the problem, since it's most easily represented by a cosine wave flipped over. If you're interested in seeing a visualization of how a circle's height converts to one of these waves, you may find the Better Explained article Intuitive Understanding of Sine Waves helpful.

Now let's get started on the problem. Cosine functions generally take the form

\(y=a\cos(b(x-c))+d\)

Where:

\(|a|\) is the amplitude

\(\frac{2\pi}{b}\) is the period, or the time it takes to go one full rotation around the circle (ferris wheel)

\(c\) is the horizontal displacement

\(d\) is the vertical shift

Step one, find the period of the function. To do this, we know that it takes six minutes to do three revolutions on the ferris wheel, so it takes 2 minutes to do one full revolution. Now, let's find \(b\) to put into our function:

\(\frac{2\pi}{b}=2\)

\(2\pi=2b\)

\(\pi=b\)

I skipped some of the basic algebra to shorten the solution, but we have found our b. Next, we'll get the amplitude of the wave by using the maximum and minimum height of the wheel. Remember, it's 4 meters at its lowest point, meaning its highest point is 54 meters in the air rather than 50. Using the formula for amplitude:

\(\frac{\max-\min}{2}\)

\(\frac{54-4}{2}\)

\(\frac{50}{2}=25=a\)

Our vertical transformation is given by \(\min+a\) or \(\max-a\), which is the height of the center of the ferris wheel, \(4+25=29=d\)

Because cosine starts at the minimum, \(c=0\).

The last thing to point out is that a cosine wave starts at its maximum. For that reason, we need to flip the entire function by making the amplitude negative in our final equation. Therefore our equation ends up being:

\(h(t)=-25\cos(\pi t)+29\)

First, 90 + 90 = 180

Second, 320 - 180 = 140

Third, 140 / 2 = 70.

|                                90 * 70 = 6,300
|
|
| 90
|
|____________

         70

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

\(\\ \sf\longmapsto 2(n-1)+47=2(3n-1)\)

\(\\ \sf\longmapsto 2n-2+47=6n-2\)

\(\\ \sf\longmapsto 2n+47=6n\)

\(\\ \sf\longmapsto 4n=47\)

\(\\ \sf\longmapsto n\approx 12\)

Answer:

n = 11.75

Step-by-step explanation:

2(n - 1) + 47 = 2(3n - 1)              Distribute the multiplier

2n - 2 + 47 = 6n - 2                 Combine terms

              47 = 4n                       divide

                n = 11.75

The Area of the walking path is 384 ft²

The formula used to find the Area of a rectangle-shaped field is given by

Where L = Length of the field

           B = Breadth of the field

Here we have  

A rectangular yard measuring 28 ft × 42 ft is surrounded by a fence.

Given dimensions of yard = 28 ft × 42 ft

=> Area of total yard = 28 ft × 42 ft = 1176 ft²

Given there is a path that is 3 ft wide along the fence

then the dimensions of the rectangle area

that is formed by the path will be (28 - 6)ft × (42 - 6) ft  

[since there is a 3 ft wide walk path ]  

Dimensions of rectagle formed by the path = 22 ft × 36 ft

Area of rectangle which is formed by the path = 22 ft × 36 ft = 792 ft²  

The area of the walking path

= Area of rectangle field - Area of rectangle field formed by fence

=  1176 ft² - 792 ft²    

= 384 ft²  

Therefore,

The Area of the walking path is 384 ft²

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Answer:

The slope is 3

Step-by-step explanation:

hope this helps

Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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Answer:

its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2

Answer:

When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.

Multiply b^2 * b^3 = b^5  (add the exponent 2 + 3 = 5)

Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)

Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)

b^2 * b*2 = b^4 (add exponents)

7b * b^2 = 7b^3 (add the exponents 1 + 2)

4 * b^2 = 4b^2

              b^2             +               7b             +        4

b^3           b^5              +           7b^4            +   4b^3

+                                                                                      

b^2           b^4             +           7b^3            + 4b^2

b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2

\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)

The right answer is No solution.

Look at the attached picture

Hope it will help you

Step-by-step explanation:

Given that n! = n(n - 1)(n - 2)(n - 3)...2×1

We want to show that 2n - 1 ≤ n!

Since

n! = n(n - 1)(n - 2)(n - 3)...2×1

= n(n - 1)!

n! = n(n - 1)(n - 2)!

n! = (n² - n)(n - 2)!

From here obviously,

n! ≥ n

n! ≥ 2n

And

n! ≥ 2n - 1

Which implies

2n - 1 ≤ n!

Answer:

40 minutes later

Step-by-step explanation:

6:15 + 40 minutes = 6:55

Answer:

D

Step-by-step explanation:

plz tell me if correct!

and PLZ GIVE BRAINLIEST

There are 252 possible combinations of questions.

What are combinations?

To find the number of combinations of questions possible, we can use the formula for combinations:

C(n, r) = n! / (r! * (n-r)!)

where n is the total number of items to choose from and r is the number of items to choose. In this case, n = 10 (the number of questions) and r = 5 (the number of questions to choose).

C(10, 5) = 10! / (5! * (10-5)!)

= (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1)

= 252

Therefore, there are 252 possible combinations of questions.

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Complete question is: A teacher has 10 test questions to choose from to make up a five-question section of an examen. there are 252 combinations of questions are possible.